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Finding the Third Proportional to 30,352.75 and 47,510.50

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Solution

The third proportional to 30,352.75 and 47,510.50 is: 74,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,352.75 : 47,510.50 = 47,510.50 : x
  2. Step 2: Convert to fraction form
    30,352.75/47,510.50 = 47,510.50/x
  3. Step 3: Cross multiply
    30,352.75x = 47,510.50 × 47,510.50
  4. Step 4: Simplify right side
    30,352.75x = 2,257,247,610.25
  5. Step 5: Solve for x
    x = 2,257,247,610.25/30,352.75
  6. Step 6: Final answer
    x = 74,367.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.